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The problem is asking for details about a linear function representing the cost of renting a car, given the cost structure. Here's a breakdown of how to approach it:

### Information from the problem:
- **Fixed cost:** $29 (this is the base cost for renting the car for a day).
- **Variable cost:** $1.85 per mile driven.

This can be represented as a linear function $ C(x) $, where:
- $ C(x) $ is the total cost,
- $ x $ is the number of miles driven.

### Questions Breakdown:

1. **What is the slope of the linear function and its units?**
   - The slope in a linear function represents the rate of change, which in this case is the cost per mile. So the slope is **$1.85 per mile**.
   - **Units:** Dollars per mile.

2. **What is the y-intercept and its units?**
   - The y-intercept represents the fixed cost when no miles are driven. So the y-intercept is **$29**.
   - **Units:** Dollars.

3. **What is the linear function $ C(x) $?**
   The general form of a linear function is:
   \[
   C(x) = mx + b
   \]
   where $ m $ is the slope (cost per mile) and $ b $ is the y-intercept (fixed cost). Substituting the values:
   \[
   C(x) = 1.85x + 29
   \]

This equation tells you the total cost $ C(x) $ based on the number of miles $ x $ driven.

Would you like more details on how to understand this linear function, or any specific part of the solution? Let me know if you need any clarification.

Here are 5 additional related questions to consider:
1. What would the total cost be if you drove 50 miles?
2. How does the slope change if the price per mile increases?
3. If the base cost increases to $35, how does the y-intercept change?
4. Can you interpret the slope as a real-world rate in any other scenarios?
5. What happens to the cost if you don’t drive any miles at all?

**Tip:** Always interpret the slope as a rate of change, and the y-intercept as a starting or initial value in linear equations!

The cost C(x), where x is the number of miles driven, of renting a car for a day is $29 plus $1.85 per mile.

Learn how to calculate the total cost of renting a car using a linear function. The base cost is $29, and the cost per mile driven is $1.85. Find the slope, y-intercept, and the complete equation for the total cost.

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